/***************************************************************************** Copyright (c) 2023, The OpenBLAS Project All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. Neither the name of the OpenBLAS project nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. **********************************************************************************/ #include "utest/openblas_utest.h" #include #include "common.h" #define DATASIZE 300 #define INCREMENT 2 struct DATA_ZTRSV { double a_test[DATASIZE * DATASIZE * 2]; double a_verify[DATASIZE * DATASIZE * 2]; double x_test[DATASIZE * INCREMENT * 2]; double x_verify[DATASIZE * INCREMENT * 2]; }; #ifdef BUILD_COMPLEX16 static struct DATA_ZTRSV data_ztrsv; /** * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A * and comparing it with the non-conjugate ztrsv. * * param uplo specifies whether A is upper or lower triangular * param trans specifies op(A), the transposition (conjugation) operation applied to A * param diag specifies whether the matrix A is unit triangular or not. * param n - numbers of rows and columns of A * param lda - leading dimension of matrix A * param incx - increment for the elements of x * return norm of difference */ static double check_ztrsv(char uplo, char trans, char diag, blasint n, blasint lda, blasint incx) { blasint i; double alpha_conj[] = {1.0, 0.0}; char trans_verify = trans; char cc[2]="C", cr[2]="R"; drand_generate(data_ztrsv.a_test, n * lda * 2); drand_generate(data_ztrsv.x_test, n * incx * 2); for (i = 0; i < n * lda * 2; i++) data_ztrsv.a_verify[i] = data_ztrsv.a_test[i]; for (i = 0; i < n * incx * 2; i++) data_ztrsv.x_verify[i] = data_ztrsv.x_test[i]; if (trans == 'R'){ BLASFUNC(zimatcopy)(cc, cr, &n, &n, alpha_conj, data_ztrsv.a_verify, &lda, &lda); trans_verify = 'N'; } BLASFUNC(ztrsv)(&uplo, &trans_verify, &diag, &n, data_ztrsv.a_verify, &lda, data_ztrsv.x_verify, &incx); BLASFUNC(ztrsv)(&uplo, &trans, &diag, &n, data_ztrsv.a_test, &lda, data_ztrsv.x_test, &incx); for (i = 0; i < n * incx * 2; i++) data_ztrsv.x_verify[i] -= data_ztrsv.x_test[i]; return BLASFUNC(dznrm2)(&n, data_ztrsv.x_verify, &incx); } /** * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A * and comparing it with the non-conjugate ztrsv. * Test with the following options: * * matrix A is conjugate and not-trans * matrix A is upper triangular * matrix A is not unit triangular */ CTEST(ztrsv, conj_notrans_upper_not_unit_triangular) { blasint n = DATASIZE, incx = 1, lda = DATASIZE; char uplo = 'U'; char diag = 'N'; char trans = 'R'; double norm = check_ztrsv(uplo, trans, diag, n, lda, incx); ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS); } /** * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A * and comparing it with the non-conjugate ztrsv. * Test with the following options: * * matrix A is conjugate and not-trans * matrix A is upper triangular * matrix A is unit triangular */ CTEST(ztrsv, conj_notrans_upper_unit_triangular) { blasint n = DATASIZE, incx = 1, lda = DATASIZE; char uplo = 'U'; char diag = 'U'; char trans = 'R'; double norm = check_ztrsv(uplo, trans, diag, n, lda, incx); ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS); } /** * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A * and comparing it with the non-conjugate ztrsv. * Test with the following options: * * matrix A is conjugate and not-trans * matrix A is lower triangular * matrix A is not unit triangular */ CTEST(ztrsv, conj_notrans_lower_not_triangular) { blasint n = DATASIZE, incx = 1, lda = DATASIZE; char uplo = 'L'; char diag = 'N'; char trans = 'R'; double norm = check_ztrsv(uplo, trans, diag, n, lda, incx); ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS); } /** * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A * and comparing it with the non-conjugate ztrsv. * Test with the following options: * * matrix A is conjugate and not-trans * matrix A is lower triangular * matrix A is unit triangular */ CTEST(ztrsv, conj_notrans_lower_unit_triangular) { blasint n = DATASIZE, incx = 1, lda = DATASIZE; char uplo = 'L'; char diag = 'U'; char trans = 'R'; double norm = check_ztrsv(uplo, trans, diag, n, lda, incx); ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS); } /** * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A * and comparing it with the non-conjugate ztrsv. * Test with the following options: * * matrix A is conjugate and not-trans * matrix A is upper triangular * matrix A is not unit triangular * vector x stride is 2 */ CTEST(ztrsv, conj_notrans_upper_not_unit_triangular_incx_2) { blasint n = DATASIZE, incx = 2, lda = DATASIZE; char uplo = 'U'; char diag = 'N'; char trans = 'R'; double norm = check_ztrsv(uplo, trans, diag, n, lda, incx); ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS); } /** * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A * and comparing it with the non-conjugate ztrsv. * Test with the following options: * * matrix A is conjugate and not-trans * matrix A is upper triangular * matrix A is unit triangular * vector x stride is 2 */ CTEST(ztrsv, conj_notrans_upper_unit_triangular_incx_2) { blasint n = DATASIZE, incx = 2, lda = DATASIZE; char uplo = 'U'; char diag = 'U'; char trans = 'R'; double norm = check_ztrsv(uplo, trans, diag, n, lda, incx); ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS); } /** * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A * and comparing it with the non-conjugate ztrsv. * Test with the following options: * * matrix A is conjugate and not-trans * matrix A is lower triangular * matrix A is not unit triangular * vector x stride is 2 */ CTEST(ztrsv, conj_notrans_lower_not_triangular_incx_2) { blasint n = DATASIZE, incx = 2, lda = DATASIZE; char uplo = 'L'; char diag = 'N'; char trans = 'R'; double norm = check_ztrsv(uplo, trans, diag, n, lda, incx); ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS); } /** * Test ztrsv with the conjugate and not-transposed matrix A by conjugating matrix A * and comparing it with the non-conjugate ztrsv. * Test with the following options: * * matrix A is conjugate and not-trans * matrix A is lower triangular * matrix A is unit triangular * vector x stride is 2 */ CTEST(ztrsv, conj_notrans_lower_unit_triangular_incx_2) { blasint n = DATASIZE, incx = 2, lda = DATASIZE; char uplo = 'L'; char diag = 'U'; char trans = 'R'; double norm = check_ztrsv(uplo, trans, diag, n, lda, incx); ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS); } #endif